Efficient algorithms for fourth and sixth-order two-point non-linear boundary value problems using non-polynomial spline approximations on a geometric mesh
DOI10.1007/s40314-014-0196-xzbMath1370.65036OpenAlexW1987874357MaRDI QIDQ2013612
Vinod Chauhan, Navnit Jha, Ranjan Kumar Mohanty
Publication date: 8 August 2017
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-014-0196-x
algorithmconvergencefinite differencestwo-point boundary value problemnumerical resultgeometric meshnon-polynomial splineerrors analysis
Nonlinear boundary value problems for ordinary differential equations (34B15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Finite difference and finite volume methods for ordinary differential equations (65L12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sinc-Galerkin and sinc-collocation methods in the solution of nonlinear two-point boundary value problems
- A class of numerical methods for the solution of fourth-order ordinary differential equations in polar coordinates
- Two-grid quasilinearization approach to ODEs with applications to model problems in physics and mechanics
- An efficient analytical approach for solving fourth order boundary value problems
- Family of numerical methods based on non-polynomial splines for solution of contact problems
- A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems
- A class of non-uniform mesh three point arithmetic average discretization for \(y^{\prime\prime} = f(x, y, y^{\prime}\) and the estimates of \(y^{\prime}\)
- Homotopy perturbation method for solving sixth-order boundary value problems
- Variable mesh methods for the numerical solution of two-point singular perturbation problems
- Existence and uniqueness theorems for fourth-order boundary value problems
- Digital simulation in electrochemistry
- Boundary value problems occurring in plate deflection theory
- Solvability of some fourth (and higher) order singular boundary value problems
- On the radial flow of a viscous fluid between porous disks
- Traveling waves in a nonlinearly suspended beam: Theoretical results and numerical observations
- Singularly perturbed and nonlocal modulation equations for systems with interacting instability mechanisms
- Solving singular boundary-value problems of higher even-order
- Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method
- Geometric mesh FDM for self-adjoint singular perturbation boundary value problems
- A fifth order accurate geometric mesh finite difference method for general nonlinear two point boundary value problems
- Spline solutions of linear sixth-order boundary-value problems
- Finite difference methods for solving
- A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems
- Spectral Galerkin methods for the primary two-point boundary value problem in modelling viscoelastic flows
- Solving Boundary Value Problems in Plate Deflection Theory
- An non-uniform mesh cubic spline TAGE method for non-linear singular two-point boundary value problems
- The Numerical Solution of Linear Boundary Value Problems
- Matrix Iterative Analysis
- Numerical Analysis
- Variable mesh difference schemes for solving a nonlinear Schrödinger equation with a linear damping term
- Self-similar fold evolution under prescribed end-shortening
